Finite Group Databasebeta

C22×C3×C52×C131 #51424611

order39300
nilpotency class1
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C2×C5

Aliases

abelianC22×C3×C52×C131
multiplicative(ℤ/43241)ˣ, (ℤ/86482)ˣ

Subgroups

subgroupG/H
center?
commutator?
Frattini?
LCS?
UCS?

Subgroup lattice not available for this group.

Conjugacy classes & character table

39300 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(39300, 65);